Scholarlink

<p>This article presents new generalizations of Hardy–Hilbert-type integral inequalities involving primitives and various homogeneous functions. Unlike previous results, our approach enables two parameters to vary independently and introduces an adjustable homogeneity parameter. This improves the flexibility and applicability of the framework. We derive sharp integral inequalities for two distinct parameter regimes. Three comprehensive applications are provided to emphasize the importance of our main theorem.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On new Hardy–Hilbert integral inequalities using primitives and homogeneous functions

  • 期刊论文

  • 发表日期：

    2026年4月6日

查看全文
  • Christophe Chesneau

摘要

This article presents new generalizations of Hardy–Hilbert-type integral inequalities involving primitives and various homogeneous functions. Unlike previous results, our approach enables two parameters to vary independently and introduces an adjustable homogeneity parameter. This improves the flexibility and applicability of the framework. We derive sharp integral inequalities for two distinct parameter regimes. Three comprehensive applications are provided to emphasize the importance of our main theorem.